Finding the Third Proportional to 116.88 and 254.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116.88 : 254.50 = 254.50 : x
2. Step 2: Convert to fraction form
   116.88/254.50 = 254.50/x
3. Step 3: Cross multiply
   116.88x = 254.50 × 254.50
4. Step 4: Simplify right side
   116.88x = 64,770.25
5. Step 5: Solve for x
   x = 64,770.25/116.88
6. Step 6: Final answer
   x = 554.18